Uncertain Dynamical Systems

Stability and Motion Control

By: A.A. Martynyuk, Yu. A. Martynyuk-Chernienko

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Hardcover | 28 November 2011 | Edition Number 1

At a Glance

Hardcover
312 Pages

Dimensions(cm)
23.39 x 15.6 x 1.91

Hardcover

RRP $399.00

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This self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapter contains new conditions of stability of unperturbed motion of the above-mentioned type of equations, along with some applications. Without assuming specific knowledge of uncertain dynamical systems, the book includes many fundamental facts about dynamical behaviour of its solutions. Giving a concise review of current research developments, Uncertain Dynamical Systems: Stability and Motion Control

Details all proofs of stability conditions for five classes of uncertain systems

Clearly defines all used notions of stability and control theory

Contains an extensive bibliography, facilitating quick access to specific subject areas in each chapter

Requiring only a fundamental knowledge of general theory of differential equations and calculus, this book serves as an excellent text for pure and applied mathematicians, applied physicists, industrial engineers, operations researchers, and upper-level undergraduate and graduate students studying ordinary differential equations, impulse equations, dynamic equations on time scales, and set differential equations.

Industry Reviews

"This book contains very interesting and advanced material on the application of various forms of Lyapunov functions for tackling a myriad of problems in differential equations. ... it is very rich in both theory and applications and is recommended to all major libraries. It is also recommended to researchers and teachers of differential equations ... ." -Yawvi A. Fiagbedzi, Mathematical Reviews, May 2013

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